Call the dean's office where you are going and ask if they have housing for visiting students, like a researved dorm room for this thing, or know of people who allow visiting student's to stay. You can also try the medical "fraternities" (lots of chicks [can I say chicks without offending people?{whoever gets offended can take a flying leap}] running around these "fraternities") - most of these places will let you crash. I spent a month on a mattress on the floor this way, and it only cost me $200 and everyone was really cool. Look for any sort of connection you can - some people you know will know someone who knows someone in the area and since medical student's tend to be low on the "criminal" and high on the "trustworthiness" scale in the eyes on the public even people who do not know you might let you stay if someone they know says you're cool.
PS - I'd make sure you have the elective locked down first.
